Alexandrov Geometry (häftad)
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Format
Inbunden (Hardback)
Språk
Engelska
Serie
Graduate Studies in Mathematics
Antal sidor
277
Utgivningsdatum
2024-06-30
Förlag
American Mathematical Society
ISBN
9781470473020

Alexandrov Geometry

Foundations

Inbunden,  Engelska, 2024-06-30
2022
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Alexandrov spaces are defined via axioms similar to those of the Euclid axioms but where certain equalities are replaced with inequalities. Depending on the signs of the inequalities, we obtain Alexandrov spaces with curvature bounded above (CBA) and curvature bounded below (CBB). Even though the definitions of the two classes of spaces are similar, their properties and known applications are quite different. The goal of this book is to give a comprehensive exposition of the structure theory of Alexandrov spaces with curvature bounded above and below. It includes all the basic material as well as selected topics inspired by considering Alexandrov spaces with CBA and with CBB simultaneously. The book also includes an extensive problem list with solutions indicated for every problem.
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Övrig information

Stephanie Alexander, University of Illinois, Urbana-Champaign, IL. Vitali Kapovitch, University of Toronto, ON, Canada. Anton Petrunin, Pennsylvania State University, College State, PA.